Stress Analysis of the Radius and Ulna in Tennis at Different Flexion Angles of the Elbow

Yan Chen, Qiang Du, Xiyang Yin, Renjie Fu and Yiyun Zhu ()
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Yan Chen: Department of Physical Education, Northwest A&F University, Xi’an 712100, China
Qiang Du: School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China
Xiyang Yin: School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China
Renjie Fu: School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China
Yiyun Zhu: School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China

Mathematics, 2023, vol. 11, issue 16, 1-17

Abstract: In this paper, based on the finite element method, the stresses of the radius and ulna are analyzed at different flexion angles of the elbow when playing tennis. The finite element model is presented for the elbow position with flexion angles of 0°, 25°, 60°, and 80° according to the normal human arm bone. In this model, the whole arm with metacarpals, radius, ulna, humerus and scapula is considered. The calculation is simplified by setting the scapula and metacarpals as rigid bodies and using Tie binding constraints between the humerus and the radius and ulna. This model is discretized using the 10-node second-order tetrahedral element (C3D10). This model contains 109,765 nodes and 68,075 elements. The hitting forces applied to the metacarpal bone are 100 N and 300 N, respectively. The numerical results show that the highest principal stresses are at the points of 1/4 of the radius, the elbow joint, and the points of 1/10 of the ulna. The results of the maximum principal stress show that the external pressures are more pronounced as the elbow flexion angle increases and that the magnitude of the hitting force does not affect the principal stress distribution pattern. Elbow injuries to the radius can be reduced by using a stroke with less elbow flexion, and it is advisable to wear a reinforced arm cuff on the dorsal 1/4 of the hand, a radial/dorsal hand wrist, and an elbow guard to prevent radial ulnar injuries.

Keywords: tennis; radius; ulna; finite element; principal stress (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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